Prepare the chicken by shredding or dicing it into bite-sized pieces.
Rinse the broccoli florets under cold water and chop them into smaller pieces. Sauté in olive oil for 3-4 minutes until bright green and slightly tender.
In a large mixing bowl, combine heavy cream, minced garlic, Italian seasoning, salt, and black pepper. Whisk until well blended.
Add cooked chicken, sautéed broccoli, and halved cherry tomatoes to the sauce. Mix in shredded mozzarella and grated Parmesan cheese until evenly coated.
Transfer the mixture to a greased 9x13 inch baking dish. Bake in a preheated oven at 375°F for 25-30 minutes until the top is golden and bubbly.
Let cool for 5 minutes before serving.